Trying to build static Qt5 in Ubuntu 12.04; all apps quit with ‘Failed to load platform plugin “xcb”’

I’ve built a static version of Qt 5 RC 1, but all of the applications I build, including the Qt examples, will immediately quit with the following message:
Failed to load platform plugin "xcb". Available platforms are:

The program has unexpectedly finished.

Here’s the configure call I used to build:
./configure -release -static -opensource -nomake examples -nomake tests -qt-xcb

My issue looked similar to QTBUG-24496 which suggested adding the following to main.cpp:
#include <QtCore/QtPlugin>
...
Q_IMPORT_PLUGIN(QXcbIntegrationPlugin)

but that just results in the following link error:
undefined reference to `qt_static_plugin_QXcbIntegrationPlugin()’